Step-by-step explanation:
you're just going to switch x and y and then solve for y
Answer:
Hello,
Step-by-step explanation:
The problem is that the inverse function is not a function but
an union of 2 functions.
[tex]y=(x+6)^2+1\ is\ the\ orignal\ function\ f(x).\\\\Inverting\ x\ and\ y\ gives: \ x=(y+6)^2+1\\\\(y+6)^2=x-1 \ nota\ bene\ x-1\geq 0 \\(y+6)^2-(x-1)=0\\\\((y+6)-\sqrt{x-1} ) * ((y+6)+\sqrt{x-1}) =0\\\\y=-6+\sqrt{x-1}-6\ or\ y=-6-\sqrt{x-1}\\[/tex]
For the fun
,[tex]f_1(x)= (x+6)^2+1=0\ if\ x<6\\f_1^{-1}(x)=-6-\sqrt{x-1} =0\ if\ x<6\\\\f_2(x)=(x+6)^2+1=0\ if\ x \geq 6\\\\f_2^{-1}(x)=-6+\sqrt{x-1} =0\ if\ x\geq 6\\[/tex]
-8z^{-2} Write the expression using only positive exponents. Assume no denominator equals zero.
Answer:
Step-by-step explanation:
-8z⁻² = -8/z²
Select the correct answer. If x- 12sqrt x +36 = 0 , what is the value of x?
Answer:
36
Step-by-step explanation:
Let a² = x
a²-12a+36=0
or, (a-6)²=0
or, a-6=0
or, a = 6
Now a² = x, so x = 6² = 36
plz help asap!!!¡!!!!
q divided by 6 + p; use p = 10, and q = 12
Answer: =12
Step-by-step explanation:
12 divided by 6=2+10=12
q/6+p = 12/6+10 = 12/16 = 0.75
hope this helps!! plz mark brainliest.
help me please it easy.
Answer: there is no picture attached or equation? what's the question?
Step-by-step explanation:
ok, what do you need help with?
find the measure of the indicated angle to the nearest degree
Answer:
[tex]20^{\circ}[/tex]
Step-by-step explanation:
In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse.
Let the angle we want to find be [tex]\theta[/tex]. [tex]\theta[/tex]'s adjacent side is 49 and the hypotenuse of the triangle is 52.
Therefore, we have the equation:
[tex]\cos \theta=\frac{49}{52}[/tex]
Take the inverse cosine of both sides:
[tex]\arccos (\cos \theta)=\arccos(\frac{49}{52})[/tex]
Simplify using [tex]\arccos (\cos \theta)=\theta \text{ for }\theta \in (0, 180^{\circ})[/tex]:
[tex]\theta=\arccos(\frac{49}{52}),\\\theta=19.557214,\\\theta\approx \boxed{20^{\circ}}[/tex]
There are 7 blue counters, 3 green counters and 1 red counter in a bag.
There are no other counters in the bag.
Hubert takes at random 2 counters from the bag.
Work out the probability that both counters are blue.
Answer:
21/55
Step-by-step explanation:
7 blue counters, 3 green counters and 1 red counter = 11 counters
1st counter
P(blue)= blue / total = 7/11
Now there are only 10 counters
6 blue counters, 3 green counters and 1 red counter = 10 counters
2nd counter
P(blue)= blue / total = 6/10 = 3/5
P(blue blue) = 7/11 * 3/5 = 21/55
need help with this!!!
Answer:
It's D I sure about it correspond means identical... The matching number
Evaluate the function for x = 3a.
f(x) = 2x^2 – 3x +4
A. 9а
B. 6a^2- 9a + 4
C. 18a^2 - 9a +4
D. 12a^2 - 6a+4
Answer:
C
Step-by-step explanation:
We are given the function:
[tex]f(x) = 2x^2 -3x+4[/tex]
And we want to evaluate it for x = 3a.
Substitute:
[tex]f(3a) = 2(3a)^2-3(3a)+4[/tex]
Square:
[tex]f(3a) = 2(9a^2)-3(3a)+4[/tex]
Simplify:
[tex]f(3a) = 18a^2-9a+4[/tex]
Hence, our answer is C.
Which ordered pair can be plotted together with these four points, so the resulting graph still represents a function?
•(2, -1)
•(2, -2)
•(-2, 2)
•(-1, 2)
Answer:
-1,2 can be plotted together with these four points ...
FIND THE PERIMETER OF THIS FIGURE. USE 3.14 FOR PI. WRITE YOUR ANSWER AS A DECIMAL.
9514 1404 393
Answer:
38.27 feet
Step-by-step explanation:
The perimeter is the sum of the side lengths. The curved side is half the circumference of a circle with diameter 11 feet.
P = 5 + 11 + 5 + (1/2)π(11)
P = 21 + 5.5(3.14) = 38.27 . . . feet
__
The circumference of a circle is ...
C = πd . . . for diameter d
Plz help plz plzplz plz help
Answer:
the answer is C.7.2. good luck
Answer:
7.3
Step-by-step explanation:
Please help I will give brainliest to whoever helps
Answer:
A = x + 15
B = 1 + 2
Step-by-step explanation:
x 2 + 17x + 30
x2 + 15 x + 2x + 30
1 ( x + 15 ) + 2 ( x + 15 )
( x + 15 ) ( 1 + 2 )
Hope this answer helps you :)
Have a great day
Mark brainliest
What is the equation of the line that passes through the points (–12, –8) and (–17, –16)?
Answer:
firstly find the gradient given by the equation
m=y2-y1/x2-x1
in this case x1 is -12,x2 is -17, y1 is -8 and y2 is-16
m=-16+8/-17+12
=-8/-5 or1.6
then use the equation
y-y1=m(x-x1)
y+8=1.6(x+12)
y+8=1.6x+19.2
y=1.6x+11.2
I hope this helps and sorry if it's wrong
What is the congruence correspondence, if any, that will prove the given triangles congruent?
multiple choices on pic
Answer:
Option: CStep-by-step explanation:
As marked,
In triangle WKQ. In triangle MQK
WK. = MQ. (Given)
WQ. = MK. (Given)
KQ. = KQ. (Common side)
Hence,
As three sides of a triangle are equal so they will be proved by SSS Congruence Condition.
find the value of x.
Answer: x=35
Step-by-step explanation:
To find the value of x, we can use the Pythegorean Theorem because this is a right triangle.
Pythagorean Theorem: a²+b²=c²
[tex]12^2+x^2=(x+2)^2[/tex] [exponent and distribute]
[tex]144+x^2=x^2+4x+4[/tex] [subtract both sides by 144]
[tex]x^2=x^2+4x-140[/tex] [subtract both sides by x²+4x]
[tex]-4x=-140[/tex] [divide both sides by -4]
[tex]x=35[/tex]
Now, we know that x=35.
is kanye going to drop donda on august 6th?
Answer:
off topic
Step-by-step explanation:
41. If two fair coins are tossed what is the probability of getting at least one head? _____________
Answer:
3/4
Step-by-step explanation:
The possible outcomes when tossing two coins are
HH HT TH TT where H is heads and T is tails
There are 3 outcomes where we get at least one head
Positive outcomes over total outcomes
3/4
Find what percent of the total number of calories comes from fat calories. Round to the nearest tenth of a percent if necessary.
___% of the calories are fat calories.
Answer:
5 percent ...................
can someone give me a little assistance and an explanation ?
9514 1404 393
Answer:
when the number of persons is less than 10
Step-by-step explanation:
The red line indicates the charges for Mount Joy Pool. It is below the blue line for "number of people" less than 10. That means Mount Joy Pool charges less than Woodbridge Pool for fewer than 10 people.
Assuming Arthur is interested in paying as little rent as necessary, he should select Mount Joy Pool when he is renting for less than 10 people.
__
Additional comment
The rent for 10 people is the same at either location, so there is nothing to favor Mount Joy Pool for 10 people. For more than 10 people, Woodbridge Pool charges less rent.
Square inscribed in a circle with radius 16.
I’ll mark u as a brainliest!!
Answer:
if your trying to find the area of the square it's 1024 if your trying to find the circumference of the circle it's 32π ( also known as 32 x pi)
not sure how to solve
Phythagorean theorem help plsss
Answer:
95cm
Step-by-step explanation:
c²=76²+57²
c²=5776+3249
√c²=√9025
c=95
I hope this helps
SEE QUESTION IN IMAGE
Answer:
(b)
Total frequencies:
25 - 4 = 21Multiples of 3 or 5:
6, 9, 10, 12, 15, 18, 20, 21, 24, 25 - total of 10Required probability:
P(3x or 5x) = 10/21(c)
Limes = 10 + 6 = 16Apples = 8 + 6 = 14Total = 16 + 14 = 30(i) Good limes = GL = 10
P(GL, GL) = 10/30*9/29 = 3/29(ii) Good fruits = GF = 10 + 8 = 18
P(GF, GF) = 18/30*17/29 = 51/145(iii) Good apple = GA = 8, Bad lime = BL = 6
P(GA&BL or BL&GA)) = 8/30*6/29 + 6/30*8/29 = 16/145subtract these polynomials
Answer:
option (D) is the answer
Answer:
[tex]-4x^{2} + 6x + 4[/tex]
Answer choice D
Step-by-step explanation:
How does the graph of g(x) = 1/x-5 +2 compare to the graph of the parent function f(x)= 1/x?
Answer: Its 5 units to the right and 2 units up.
2. Apply the laws of indices and simplify. h)
[tex]3 \sqrt{x {?}^{2} {y}^{2} } [/tex]
Answer:
sub to the students notice the best of luck in life is good and u don't know what to do
Consider the quadratic expression 13x^2 + nx - 17. For certain values of n, it may be factored into a product of two linear polynomials, both of which have integer coefficients. What are all such values of n?
Answer:
n = 220, 4, -4, -220
Step-by-step explanation:
factors of 17: 17, 1, -1, -17
13 is prime number: 13 x 1 = 13
(ax+b)(cx+d) = axcx+axd+bcx+bd
(x + 17)(13x - 1) = 13x^2 + 220x - 17, n = 220
(x - 17)(13x + 1) = 13x^2 - 220x - 17, n = -220
(x + 1)(13x - 17) = 13x^2 - 4x - 17, n = -4
(x - 1)(13x + 17) = 13x^2 + 4x - 17, n = 4
Help please............./..
Answer:
D
Step-by-step explanation:
I need help plz thx
Answer:
Perimeter = 36 units
Step-by-step explanation:
The figure given has been labelled with letters for easy reference.
Recall: when two tangents segments meet at a point outside the circle, the two segments that are tangent to the circle are congruent to each.
Perimeter = a + b + c + d + e + f
e = 4 (given)
e = f = 4 (tangents drawn from an external point)
b = 10 - f
Substitute
b = 10 - 4
b = 6
b = a = 6 (tangents drawn from an external point)
c = 8 (given)
c = d = 8 (tangents drawn from an external point)
Perimeter = 6 + 6 + 8 + 8 + 4 + 4
Perimeter = 36 units